SOLUTION: Francine and Cheryl received equal scores on a test made up of multiple choice question and an essay. Fransine got 34 multiple choice question correct and received 14 points for he

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Francine and Cheryl received equal scores on a test made up of multiple choice question and an essay. Fransine got 34 multiple choice question correct and received 14 points for he      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1034039: Francine and Cheryl received equal scores on a test made up of multiple choice question and an essay. Fransine got 34 multiple choice question correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay. How many points was each multilple choice question worth?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let us call the number of points awarded for each correct answer, x. Then we can write
34x + 14 = 30x + 22
Now subtract 14 and subtract 30x and get
34x = 30x + 8
4x = 8
x = 2